Answer:
-25
——— = -2.08333
12
Step-by-step explanation:
Step 1 :
7
Simplify —
4
Equation at the end of step 1 :
1 7
(0 - —) + (0 - —)
3 4
Step 2 :
1
Simplify —
3
Equation at the end of step 2 :
1 -7
(0 - —) + ——
3 4
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 2 2
Product of all
Prime Factors 3 4 12
Least Common Multiple:
12
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 4
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. -1 • 4
—————————————————— = ——————
L.C.M 12
R. Mult. • R. Num. -7 • 3
—————————————————— = ——————
L.C.M 12
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
-1 • 4 + -7 • 3 -25
——————————————— = ———
12 12
Final result :
-25
——— = -2.08333
12
Processing ends successfully
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